https://doi.org/10.1140/epjc/s10052-020-7768-2
Regular Article - Theoretical Physics
Analytical study of holographic p-wave superfluid models in Gauss–Bonnet gravity
1
Center for Astrophysics, School of Physics and Electronic Engineering, Guangzhou University, Guangzhou, 510006, China
2
Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of Education, Department of Physics, Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal University, Changsha, 410081, Hunan, China
3
Center for Gravitation and Cosmology, College of Physical Science and Technology, Yangzhou University, Yangzhou, 225009, China
* e-mail: laichuyu@gzhu.edu.cn
Received:
1
November
2019
Accepted:
22
February
2020
Published online:
17
March
2020
In Gauss–Bonnet gravity, we analytically investigate the p-wave superfluid models in five dimensional AdS soliton and AdS black hole in order to explore the influences of the higher curvature correction on the holographic superfluid phase transition. We observe that the analytical findings are in good agreement with the numerical computations. Our results show that the critical chemical potential of the system increases with the increase of the Gauss–Bonnet parameter in AdS soliton background, while the critical temperature decreases as the Gauss–Bonnet factor grows if the phase transition of the system is of the second order in AdS black hole background, both of which indicate that the higher curvature correction hinders the formation of the condensation of the vector operator. Moreover, the critical exponent of the system takes the mean-field value 1/2, which is independent of the Gauss–Bonnet parameter and the spatial component of the gauge field.
© The Author(s), 2020
